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3 years ago

EXPLAIN A car travelsž mile in

Mathematics

1 answer:

ruslelena [56]3 years ago

8 0

Answer:

Step-by-step explanation:

Your question's not complete. How far did the car travel? Call this distance "d." Then:

d miles 60 min

----------- * ------------ = 12d mph

5 min 1 hour

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What is the sum of the first five terms of the geometric sequence in which a1=10 and r=1/2?

Tomtit [17]

(10(1-(1/2)^5)/1-(1/2) =

20(1-1/32)
=155/8

5 0

3 years ago

Read 2 more answers

Psychologist Michael Cunningham conducted a survey of university women to see whether, upon graduation, they would prefer to mar

bagirrra123 [75]

Answer:

A.The probability that exactly six of Nate's dates are women who prefer surgeons is 0.183.

B. The probability that at least 10 of Nate's dates are women who prefer surgeons is 0.0713.

C. The expected value of X is 6.75, and the standard deviation of X is 2.17.

Step-by-step explanation:

The appropiate distribution to us in this model is the binomial distribution, as there is a sample size of n=25 "trials" with probability p=0.25 of success.

With these parameters, the probability that exactly k dates are women who prefer surgeons can be calculated as:

$P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{25}{k} 0.25^{k} 0.75^{25-k}\\\\\\$

A. P(x=6)

$P(x=6) = \dbinom{25}{6} p^{6}(1-p)^{19}=177100*0.00024*0.00423=0.183\\\\\\$

B. P(x≥10)

$P(x\geq10)=1-P(x$

$P(x=0) = \dbinom{25}{0} p^{0}(1-p)^{25}=1*1*0.0008=0.0008\\\\\\P(x=1) = \dbinom{25}{1} p^{1}(1-p)^{24}=25*0.25*0.001=0.0063\\\\\\P(x=2) = \dbinom{25}{2} p^{2}(1-p)^{23}=300*0.0625*0.0013=0.0251\\\\\\P(x=3) = \dbinom{25}{3} p^{3}(1-p)^{22}=2300*0.0156*0.0018=0.0641\\\\\\P(x=4) = \dbinom{25}{4} p^{4}(1-p)^{21}=12650*0.0039*0.0024=0.1175\\\\\\P(x=5) = \dbinom{25}{5} p^{5}(1-p)^{20}=53130*0.001*0.0032=0.1645\\\\\\P(x=6) = \dbinom{25}{6} p^{6}(1-p)^{19}=177100*0.0002*0.0042=0.1828\\\\\\$

$P(x=7) = \dbinom{25}{7} p^{7}(1-p)^{18}=480700*0.000061*0.005638=0.1654\\\\\\P(x=8) = \dbinom{25}{8} p^{8}(1-p)^{17}=1081575*0.000015*0.007517=0.1241\\\\\\P(x=9) = \dbinom{25}{9} p^{9}(1-p)^{16}=2042975*0.000004*0.010023=0.0781\\\\\\$

$P(x\geq10)=1-(0.0008+0.0063+0.0251+0.0641+0.1175+0.1645+0.1828+0.1654+0.1241+0.0781)\\\\P(x\geq10)=1-0.9287=0.0713$

C. The expected value (mean) and standard deviation of this binomial distribution can be calculated as:

$E(x)=\mu=n\cdot p=25\cdot 0.25=6.25\\\\\sigma=\sqrt{np(1-p)}=\sqrt{25\cdot 0.25\cdot 0.75}=\sqrt{4.69}\approx2.17$

4 0

3 years ago

What is the slope of the line that passes through the points (-8, -3)(−8,−3) and (-12, -3) ?(−12,−3)? Write your answer in simpl

Darya [45]

Answer:

$\\ \frac{y2 - y1}{x2 - x1} = \frac{ - 3 - ( - 3)}{ - 12 - ( - 8)} = \frac{ - 3 + 3}{ - 12 + 8} = 0 \div ( - 4) = 0$

6 0

3 years ago

Madison likes to go to her local hair salon because she is a premier member there. Her membership fee costs $80.00 and that memb

OlgaM077 [116]

By evaluating a linear equation, we can complete the table:

Number of visits | total cost

2 $132

4 $184

5 $210

8 $288

<h3>How to fill the table?</h3>

We know that her membership fee costs $80.00, and it allows her to get her hair done for $26.00 for each visit, so if she does x visits, then the total cost for these x visits (including the membership fee) is:

c(x) = $80.00 + $26.00*x

So we have a linear equation that models the total cost.

Evaluating the equation in the values of the table we will get the other values.

c(2) = $80 + $26*2 = $132

c(4) = $80 + $26*4 = $184

c(5) = $80 + $26*5 = $210

c(8) = $80 + $26*8 = $288

Then the complete table is:

Number of visits | total cost

2 $132

4 $184

5 $210

8 $288

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

7 0

1 year ago

PLEASE HELP. I WILL GIVE BRAINLESS

Mila [183]

Answer:

1. 47.1% 2. 69.4% 3. 72.9% 4. 55.6%

Step-by-step explanation:

you just have to add both the numbers and divide the one you are trying to find is liked by the total of both.

ex.

what precent of chicago likes rain?

chicago rain 143 snow 59

143+59=202

143/202=70.7%

7 0

3 years ago